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Finding the Fourth Proportional to 1,296.22, 1,789.19 and 876.29

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Solution

The fourth proportional to 1,296.22, 1,789.19 and 876.29 is: 1,209.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.22 : 1,789.19 = 876.29 : x
  2. Step 2: Convert to fraction form
    1,296.22/1,789.19 = 876.29/x
  3. Step 3: Cross multiply
    1,296.22x = 1,789.19 × 876.29
  4. Step 4: Simplify right side
    1,296.22x = 1,567,840.45
  5. Step 5: Solve for x
    x = 1,567,840.45/1,296.22
  6. Step 6: Final answer
    x = 1,209.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.